Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15540b |
Isogeny class |
Conductor |
15540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
30209760000 = 28 · 36 · 54 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1156,13000] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:162:1] |
Generators of the group modulo torsion |
j |
667932971344/118006875 |
j-invariant |
L |
4.0667099477074 |
L(r)(E,1)/r! |
Ω |
1.1198967786223 |
Real period |
R |
1.2104418982584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160cd2 46620y2 77700s2 108780bm2 |
Quadratic twists by: -4 -3 5 -7 |